Example 1
- x = 0
0
What is tanh(0)? The result is 0, because tanh(0) = 0.
Tanh calculator
Type x. The result is tanh(x). 0 gives 0. 1 gives 0.761594. 2 gives 0.964028.
One field. This is not tangent of an angle. tanh stays between −1 and 1. A fraction through six decimal places. Empty leaves a blank.
Results
Enter data and click Calculate.
How it works
Hyperbolic tangent is tanh(x), not tan of an angle. The calculator computes tanh, and if that were missing, (eˣ−e⁻ˣ)/(eˣ+e⁻ˣ). x = 0 gives 0. x = 1 gives 0.761594. x = 2 gives 0.964028.
The result never leaves (−1, 1). Large x goes toward 1, a large minus toward −1. The function is odd: tanh(−1) is −0.761594.
An empty field is a blank value and a blank. sinh and cosh of that x live next door. We do not overwrite the gold tangent-of-an-angle card.
The header units switch does not multiply anything. 0 stays 0 whatever the label says.
0 is an integer, so the string 0. 0.761594 is six decimal places.
x = 0 gives 0. x = 1 gives 0.761594. x = 2 gives 0.964028.
Formula
tanh(x) = Math.tanh(x), fallback (eˣ − e⁻ˣ)/(eˣ + e⁻ˣ)
How to use
- Type x, for example 0.
- Click Calculate. tanh(0) comes out 0.
- 1 gives 0.761594. 2 gives 0.964028.
- This is not tangent of an angle in degrees.
- sinh and cosh of that x live on the neighbouring cards.
x = 0 gives 0
tanh(x) is the hyperbolic tangent. 0 gives 0. 1 gives 0.761594. 2 gives 0.964028.
- Hyperbolic
- tanh, not tan of an angle. tanh(0) = 0. tanh(1) = 0.761594.
- tangent
- Here hyperbolic. 2 gives 0.964028. The result stays in (−1, 1).
- tanh
- tanh(x). Fallback (eˣ−e⁻ˣ)/(eˣ+e⁻ˣ). A fraction through six decimal places.
Examples
Example 2
- x = 1
0.761594
What is tanh(1)? 0.761594. six decimal places.
Example 3
- x = 2
0.964028
What is tanh(2)? 0.964028. Toward 1, still below 1.
Related calculators
Common questions
What is tanh(0)?
The result is 0, because tanh(0) = 0.
What does hyperbolic tangent mean?
tanh(x). Not tan of an angle. Result inside (−1, 1).
What is tanh(1)?
0.761594. six decimal places from tanh.
What is tanh(2)?
0.964028. Close to 1, still below.
Is tanh(−1) a minus?
Yes. −0.761594. An odd function.
What if the field is empty?
a blank value. The result stays blank.
Is this tan 0°?
No. Tangent of an angle is on the tangent page. Here tanh.
Can the result be larger than 1?
No. tanh stays in (−1, 1).
Where are sinh and cosh?
On the neighbouring hyperbolic pages. Here one number and tanh.
Does a comma in 0.5 work?
Yes. 0.5 and 0,5 are the same x.
Knowledge sources
The calculator computes the same formula as the definition below.
Page updated in 2026.